{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Impute missing data using seasonal decomposition and interpolation.\n",
    "\n",
    "[Feature Engineering for Time Series Forecasting](https://www.trainindata.com/p/feature-engineering-for-forecasting)\n",
    "\n",
    "This notebook shows how we can use interpolation methods along with seasonal decomposition to fill missing data for a time series.\n",
    "\n",
    "We will work with a monthly retail sales dataset (found [here](https://raw.githubusercontent.com/facebook/prophet/master/examples/example_retail_sales.csv)).\n",
    "\n",
    "For instructions on how to download, prepare, and store the dataset, refer to notebook number 1, in the folder \"01-Create-Datasets\" from this repo.\n",
    "\n",
    "## Data Set Synopsis\n",
    "\n",
    "The timeseries is between January 1992 and Apr 2005.\n",
    "\n",
    "It consists of a single series of monthly values representing sales volumes. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "\n",
    "sns.set_context(\"talk\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Load dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "df = pd.read_csv(\n",
    "    \"../Datasets/example_retail_sales_with_missing_data.csv\",\n",
    "    parse_dates=[\"ds\"],\n",
    "    index_col=[\"ds\"],\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>y</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ds</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1992-01-01</th>\n",
       "      <td>146376.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1992-02-01</th>\n",
       "      <td>147079.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1992-03-01</th>\n",
       "      <td>159336.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1992-04-01</th>\n",
       "      <td>163669.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1992-05-01</th>\n",
       "      <td>170068.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                   y\n",
       "ds                  \n",
       "1992-01-01  146376.0\n",
       "1992-02-01  147079.0\n",
       "1992-03-01  159336.0\n",
       "1992-04-01  163669.0\n",
       "1992-05-01  170068.0"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Check for missing data"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We check for missing data in the target and quantify how many missing values there are."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Number of datapoints missing: 33\n",
      "Proportion of dataset missing: 20.62%\n"
     ]
    }
   ],
   "source": [
    "n_missing = df[\"y\"].isnull().sum()\n",
    "\n",
    "print(f\"Number of datapoints missing: {n_missing}\")\n",
    "print(f\"Proportion of dataset missing: {n_missing/len(df):.2%}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We plot the time series to see where the data is missing."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'Time')"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = df.plot(marker=\".\", figsize=[10, 5], legend=None)\n",
    "\n",
    "ax.set_title(\"Retail Sales with missing data\")\n",
    "ax.set_ylabel(\"Retail Sales\")\n",
    "ax.set_xlabel(\"Time\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Seasonal-Trend decomposition using LOESS (STL)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This method involves estimating the seasonal component of a time series. This is then subtracted from the original time series to provide a de-seasoned time series. Any of the prior interpolation methods can then be used on the de-seasoned time series and the seasonal component can be added back to the de-seasoned time series. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "There are many different methods to decompose a time series into seasonal and other components. We shall use STL for this notebook."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this section we show how to use the STL method to extract the seasonal component of a time series. An advantage of STL is that it is able to estimate a seasonal component which can change over time (e.g., if the amplitude or frequency of the seasonal component changes).\n",
    "\n",
    "The details of the method can be found in the [original paper](http://www.nniiem.ru/file/news/2016/stl-statistical-model.pdf)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "from statsmodels.tsa.seasonal import STL"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "STL can't handle missing data. A linear interpolation is typically used to fill missing data before decomposing the time series using STL. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "# Apply STL decomposition\n",
    "res = STL(df.interpolate(method=\"linear\").squeeze(), # Convert dataframe to a Series \n",
    "                                                     # to avoid error in Statsmodels\n",
    "          seasonal=31).fit()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The seasonal parameter determines how much data is used to infer the seasonality at any given point. If the seasonal component is thought to be fixed throughout time then a large seasonal parameter can be set so that more data is used to determine the seasonal component. Likewise if the seasonal component is thought to change (e.g., the frequency) quickly over time the seasonal parameter can be reduced so that only recent data contributes to determining the seasonal component. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The large missing gap is linearly interpolated. This means that the algorithm sees a region of data with no seasonal component and could distort the estimation of the seasonal component. A large seasonal parameter is set to overcome this. This works because a larger portion of the data is now used to estimate the seasonal component meaning that the local distortion from the interpolation has less effect."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We now plot the decomposition to inspect that it is reasonable."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.rc(\"figure\", figsize=(10, 10))\n",
    "plt.rc(\"font\", size=5)\n",
    "res.plot();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We now:\n",
    "\n",
    "1. extract the seasonal component\n",
    "2. de-seasonalise the original time series\n",
    "3. perform linear interpolation on the de-seasonalised data\n",
    "4. Add the seasonal component back to the imputed de-seasonalised data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "ds\n",
       "1992-01-01   -17093.246676\n",
       "1992-02-01   -15953.208314\n",
       "1992-03-01    -5465.127087\n",
       "1992-04-01    -2786.956191\n",
       "1992-05-01     1205.808675\n",
       "Name: season, dtype: float64"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Extract seasonal component\n",
    "seasonal_component = res.seasonal\n",
    "seasonal_component.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'Time')"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# De-seasonlise original data\n",
    "df_deseasonalised = df[\"y\"] - seasonal_component\n",
    "\n",
    "# Perform linear interpolation on de-seasonalised data\n",
    "df_deseasonalised_imputed = df_deseasonalised.interpolate(method=\"linear\")\n",
    "\n",
    "# Add seasonal component back to get the final imputed time series\n",
    "df_imputed = df_deseasonalised_imputed + seasonal_component\n",
    "\n",
    "# Plot the imputed time series\n",
    "df_imputed = df_imputed.to_frame().rename(columns={0: \"y\"})\n",
    "ax = df_imputed.plot(linestyle=\"-\", marker=\".\", figsize=[10, 5], legend=None)\n",
    "ax = df_imputed[df.isnull()].plot(ax=ax, legend=None, marker=\".\", color=\"r\")\n",
    "\n",
    "ax.set_title(\"Retail Sales with imputed data\")\n",
    "ax.set_ylabel(\"Retail Sales\")\n",
    "ax.set_xlabel(\"Time\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'Time')"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = df_deseasonalised.plot(linestyle=\"-\", marker=\".\", figsize=[10, 5])\n",
    "\n",
    "df_deseasonalised_imputed.to_frame().rename(columns={0: \"y\"})[df.isnull()].plot(\n",
    "    ax=ax, legend=None, marker=\".\", color=\"r\"\n",
    ")\n",
    "\n",
    "\n",
    "ax.set_title(\"Retail Sales deseasonalised with imputed data\")\n",
    "ax.set_ylabel(\"Retail Sales deseasonalised\")\n",
    "ax.set_xlabel(\"Time\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Note**: \n",
    "\n",
    "Simpler seasonal decompositions methods exist in Statsmodels such as `seasonal_decompose`. However, the simplicity of the `seasonal_decompose` method has drawbacks which may or may not be relevant for your use case (e.g., naive seasonal decomposition methods may not capture seasonality which changes over time, may not return values at the start and end of a time series etc.). STL is a more advanced method that is commonly used for data imputation."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Summary"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If your dataset is not strongly seasonal then simple methods such as forward fill or linear interpolation would normally be sufficient. If your data is strongly seasonal and especially if there are large gaps then performing a seasonal decomposition and interpolating the de-seasonalised data is recommended.\n"
   ]
  }
 ],
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